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Rolling resistance during cornering - Impact of lateral forces for heavy-duty vehicles
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Optimization and Systems Theory.
2015 (English)Independent thesis Advanced level (degree of Master (Two Years)), 20 credits / 30 HE creditsStudent thesisAlternative title
Rullmotstånd på kurvig väg - Inverkan av laterala krafter för tunga fordon (Swedish)
Abstract [en]

We consider first the single-track bicycle model and state relations between the tires’ lateral forces and the turning radius. From the tire model, a relation between the lateral forces and slip angles is obtained. The extra rolling resistance forces from cornering are by linear approximation obtained as a function of the slip angles. The bicycle model is validated against the Magic-formula tire model from Adams.

The bicycle model is then applied on an optimization problem, where the optimal velocity for a track for some given test cases is determined such that the energy loss is as small as possible. Results are presented for how much fuel it is possible to save by driving with optimal velocity compared to fix average velocity. The optimization problem is applied to a specific laden truck.

Abstract [sv]

Vi betraktar först den enspåriga cykelmodellen och ställer upp samband mellan däckens sidokrafter och kurvradien. Genom däcksmodellen fås ett samband för hur sidokrafterna beror av slipvinklarna. De extra rullmotståndskrafterna för kurvor fås via linjär approximation som funktion av slipvinklarna. Cykelmodellen valideras mot en däcksmodell från Adams.

Cykelmodellen tillämpas sedan på ett optimeringsproblem där den optimala hastigheten längs en bana för några givna testfall bestäms så att energiförlusten blir så liten som möjligt. Resultat presenteras för hur mycket bränsle det är möjligt att spara genom att köra med optimal hastighet jämfört med fix medelhastighet. Optimeringsproblemet tillämpas på en specifik lastad lastbil.

Place, publisher, year, edition, pages
TRITA-MAT-E, 2015:82
Keyword [en]
Bicycle model, lateral forces, rolling resistance, velocity optimization
Keyword [sv]
Cykelmodell, sidokrafter, rullmotstånd, hastighetsoptimering, bränsleförbrukning
National Category
URN: urn:nbn:se:kth:diva-177113OAI: diva2:872343
Subject / course
Optimization and Systems Theory
Educational program
Master of Science - Applied and Computational Mathematics
Available from: 2015-11-18 Created: 2015-11-14 Last updated: 2016-01-08Bibliographically approved

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